A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations

Hsin Hung Chen, Liang-Hsuan Chen

研究成果: Conference contribution

2 引文 (Scopus)

摘要

This paper studies the decentralized bi-level multiobjective programming (DBLMOP) problem with one decision-maker (DM) at the higher level and more than one DM at the lower level. The number of objective functions to be optimized by each DM may be different. The fuzzy relation technique is first incorporated into fuzzy goal programming (FGP) to solve the hierarchical optimization problem. After characterizing the fuzzy goals of the objective functions and the higher-level DM's decision vector by the corresponding membership functions, the concept of fuzzy binary relation is introduced to define the imprecise cooperation relations between the two DMs located at the different levels. An FGP model is formulated to reach the satisfactory values of all the fuzzy goals as close to the optimums as possible by minimizing their deviation variables and thereby finding a candidate solution. The proposed solution algorithm involving an interactive procedure with two orientations enables the higher-level DM to adjust the decision powers of the DMs through changing the cooperation relations, if the solution needs to be re-evaluated. A numerical example is presented to illustrate and demonstrate the proposed method.

原文English
主出版物標題40th International Conference on Computers and Industrial Engineering
主出版物子標題Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010
DOIs
出版狀態Published - 2010
事件40th International Conference on Computers and Industrial Engineering, CIE40 2010 - Awaji, Japan
持續時間: 2010 七月 252010 七月 28

Other

Other40th International Conference on Computers and Industrial Engineering, CIE40 2010
國家Japan
城市Awaji
期間10-07-2510-07-28

指紋

Membership functions

All Science Journal Classification (ASJC) codes

  • Computational Theory and Mathematics
  • Software

引用此文

Chen, H. H., & Chen, L-H. (2010). A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations. 於 40th International Conference on Computers and Industrial Engineering: Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010 [5668254] https://doi.org/10.1109/ICCIE.2010.5668254
Chen, Hsin Hung ; Chen, Liang-Hsuan. / A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations. 40th International Conference on Computers and Industrial Engineering: Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010. 2010.
@inproceedings{6f67a938f5c349be978e8f90f43ec290,
title = "A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations",
abstract = "This paper studies the decentralized bi-level multiobjective programming (DBLMOP) problem with one decision-maker (DM) at the higher level and more than one DM at the lower level. The number of objective functions to be optimized by each DM may be different. The fuzzy relation technique is first incorporated into fuzzy goal programming (FGP) to solve the hierarchical optimization problem. After characterizing the fuzzy goals of the objective functions and the higher-level DM's decision vector by the corresponding membership functions, the concept of fuzzy binary relation is introduced to define the imprecise cooperation relations between the two DMs located at the different levels. An FGP model is formulated to reach the satisfactory values of all the fuzzy goals as close to the optimums as possible by minimizing their deviation variables and thereby finding a candidate solution. The proposed solution algorithm involving an interactive procedure with two orientations enables the higher-level DM to adjust the decision powers of the DMs through changing the cooperation relations, if the solution needs to be re-evaluated. A numerical example is presented to illustrate and demonstrate the proposed method.",
author = "Chen, {Hsin Hung} and Liang-Hsuan Chen",
year = "2010",
doi = "10.1109/ICCIE.2010.5668254",
language = "English",
isbn = "9781424472956",
booktitle = "40th International Conference on Computers and Industrial Engineering",

}

Chen, HH & Chen, L-H 2010, A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations. 於 40th International Conference on Computers and Industrial Engineering: Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010., 5668254, 40th International Conference on Computers and Industrial Engineering, CIE40 2010, Awaji, Japan, 10-07-25. https://doi.org/10.1109/ICCIE.2010.5668254

A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations. / Chen, Hsin Hung; Chen, Liang-Hsuan.

40th International Conference on Computers and Industrial Engineering: Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010. 2010. 5668254.

研究成果: Conference contribution

TY - GEN

T1 - A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations

AU - Chen, Hsin Hung

AU - Chen, Liang-Hsuan

PY - 2010

Y1 - 2010

N2 - This paper studies the decentralized bi-level multiobjective programming (DBLMOP) problem with one decision-maker (DM) at the higher level and more than one DM at the lower level. The number of objective functions to be optimized by each DM may be different. The fuzzy relation technique is first incorporated into fuzzy goal programming (FGP) to solve the hierarchical optimization problem. After characterizing the fuzzy goals of the objective functions and the higher-level DM's decision vector by the corresponding membership functions, the concept of fuzzy binary relation is introduced to define the imprecise cooperation relations between the two DMs located at the different levels. An FGP model is formulated to reach the satisfactory values of all the fuzzy goals as close to the optimums as possible by minimizing their deviation variables and thereby finding a candidate solution. The proposed solution algorithm involving an interactive procedure with two orientations enables the higher-level DM to adjust the decision powers of the DMs through changing the cooperation relations, if the solution needs to be re-evaluated. A numerical example is presented to illustrate and demonstrate the proposed method.

AB - This paper studies the decentralized bi-level multiobjective programming (DBLMOP) problem with one decision-maker (DM) at the higher level and more than one DM at the lower level. The number of objective functions to be optimized by each DM may be different. The fuzzy relation technique is first incorporated into fuzzy goal programming (FGP) to solve the hierarchical optimization problem. After characterizing the fuzzy goals of the objective functions and the higher-level DM's decision vector by the corresponding membership functions, the concept of fuzzy binary relation is introduced to define the imprecise cooperation relations between the two DMs located at the different levels. An FGP model is formulated to reach the satisfactory values of all the fuzzy goals as close to the optimums as possible by minimizing their deviation variables and thereby finding a candidate solution. The proposed solution algorithm involving an interactive procedure with two orientations enables the higher-level DM to adjust the decision powers of the DMs through changing the cooperation relations, if the solution needs to be re-evaluated. A numerical example is presented to illustrate and demonstrate the proposed method.

UR - http://www.scopus.com/inward/record.url?scp=78651451433&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78651451433&partnerID=8YFLogxK

U2 - 10.1109/ICCIE.2010.5668254

DO - 10.1109/ICCIE.2010.5668254

M3 - Conference contribution

AN - SCOPUS:78651451433

SN - 9781424472956

BT - 40th International Conference on Computers and Industrial Engineering

ER -

Chen HH, Chen L-H. A fuzzy goal programming approach for solving the decentralized bi-level optimization problem with imprecise cooperation relations. 於 40th International Conference on Computers and Industrial Engineering: Soft Computing Techniques for Advanced Manufacturing and Service Systems, CIE40 2010. 2010. 5668254 https://doi.org/10.1109/ICCIE.2010.5668254